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Finding the Third Proportional to 92,280 and 121,171.50

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Solution

The third proportional to 92,280 and 121,171.50 is: 159,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,280 : 121,171.50 = 121,171.50 : x
  2. Step 2: Convert to fraction form
    92,280/121,171.50 = 121,171.50/x
  3. Step 3: Cross multiply
    92,280x = 121,171.50 × 121,171.50
  4. Step 4: Simplify right side
    92,280x = 14,682,532,412.25
  5. Step 5: Solve for x
    x = 14,682,532,412.25/92,280
  6. Step 6: Final answer
    x = 159,108.50

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.